多項式ポリトープ解析のための Stability Feeler の提案 [in Japanese] Stability Feeler : A Tool for Analysis of Polytopic Polynomials [in Japanese]
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Stability analysis of a linear uncertain polynomial system in real parameter space is one of central themes of recent control theory. It is generally very difficult to analyze the stability of such a system because the number of its characteristic polynomials to be analyzed becomes enormous. A parallelotope of polynomials is a typical type of uncertain polynomials. Though a number of analysis methods for such a parallelotope are at our hand, they mainly focus on stability check of <i>given</i> polynomials and hardly give information on how for the certain interested parameter can be extended for stability. To solve this problem, we propose a novel tool for stability analysis called "Stability Feeler". This concept leads to an algorithm which determines <i>D</i>-stability intervals along a given line in the polynomial coefficient space. With the tool, stability problems of parallelotopes can be successfully resolved. Two numerical examples are shown to support this concept.
- IEEJ Transactions on Electronics, Information and Systems
IEEJ Transactions on Electronics, Information and Systems 126(11), 1311-1317, 2006-11-01
The Institute of Electrical Engineers of Japan